9 citations · 16 across the 10 of their papers we have counts for
11 papers
Embeddability between 3-manifolds is not stable
Giulio Belletti, Renaud Detcherry
We prove that given two compact oriented -manifolds and with satisfying only a mild hypothesis, there is a hyperbolic -manifold arbitrarily ``closely relate…
An equivalent condition for q-holonomicity
Giulio Belletti
We show that a sequence is q-holonomic if and only if it satisfies the elimination property for any subset of variables. The same result also holds for holonomic sequences. As an a…
An effective proof of finiteness for Kauffman bracket skein modules
Giulio Belletti, Renaud Detcherry
We prove a version of the finiteness conjecture for Kauffman bracket skein modules of -manifolds with boundary, which was introduced by the second author in \cite{Det21}. In par…
On torsion in the Kauffman bracket skein module of -manifolds
Giulio Belletti, Renaud Detcherry
We study Kirby problems 1.92(E)-(G), which, roughly speaking, ask for which compact oriented -manifold the Kauffman bracket skein module has torsion as a $\…
Asymptotics of quantum -symbols and generalized hyperbolic tetrahedra
Giulio Belletti, Tian Yang
We establish the geometry behind the quantum -symbols under only the admissibility conditions as in the definition of the Turaev-Viro invariants of -manifolds. As a classifi…
The volume conjecture for polyhedra implies the Stoker conjecture
Giulio Belletti
We show that the Volume Conjecture for polyhedra implies a weak version of the Stoker Conjecture; in turn we prove that this weak version of the Stoker conjecture implies the Stoke…
Discrete Fourier transforms, quantum -symbols and deeply truncated tetrahedra
Giulio Belletti, Tian Yang
The asymptotic behavior of quantum -symbols is closely related to the volume of truncated hyperideal tetrahedra\,\cite{C}, and plays a central role in understanding the asympto…
The maximum volume of hyperbolic polyhedra
Giulio Belletti
We study the supremum of the volume of hyperbolic polyhedra with some fixed combinatorics and with vertices of any kind (real, ideal or hyperideal). We find that the supremum is al…
An upper bound conjecture for the Yokota invariant
Giulio Belletti
We conjecture an upper bound on the growth of the Yokota invariant of polyhedral graphs, extending a previous result on the growth of the -symbol. Using Barrett's Fourier trans…
Growth of quantum 6j-symbols and applications to the Volume Conjecture
Giulio Belletti, Renaud Detcherry, Efstratia Kalfagianni +1
We prove the Turaev-Viro invariants volume conjecture for a "universal" class of cusped hyperbolic 3-manifolds that produces all 3-manifolds with empty or toroidal boundary by Dehn…
Strain-gradient-induced switching of nanoscale domains in free-standing ultrathin films
G. D. Belletti, S. D. Dalosto, Silvia Tinte
We report first-principle atomistic simulations on the effect of local strain gradients on the nanoscale domain morphology of free-standing PbTiO ultrathin films. First, the fe…